On calculus of functors in model categories
Alexandru E. Stanculescu
TL;DR
This paper explores the calculus of functors within the framework of model categories, extending Goodwillie's ideas to a more general and abstract setting.
Contribution
It provides a model-theoretic analysis of Goodwillie's calculus, broadening its applicability beyond topological spaces.
Findings
Generalized constructions in model categories
Extended calculus of functors to new settings
Framework for future applications in homotopy theory
Abstract
We present an analysis of some constructions and arguments from the universe of T. G. Goodwillie's Calculus, in a general model theoretic setting.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra